Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th June 1994

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Completing the Square3 marks
Write x^2 - 8x + 6 in the form (x + a)^2 + b.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 81.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?

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